Book Review
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MathSciNet review:
3307765
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Dmitry Panchenko
Title:
The Sherrington-Kirkpatrick model
Additional book information:
Springer Monographs in Mathematics,
Springer,
New York,
2013,
xii+156 pp.,
ISBN 978-1-4614-6288-0
Pierluigi Contucci and Cristian Giardinà, Perspectives on spin glasses, Cambridge University Press, Cambridge, 2013. MR 3012705
Stefano Ghirlanda and Francesco Guerra, General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity, J. Phys. A 31 (1998), no. 46, 9149–9155. MR 1662161, DOI 10.1088/0305-4470/31/46/006
Francesco Guerra and Fabio Lucio Toninelli, The thermodynamic limit in mean field spin glass models, Comm. Math. Phys. 230 (2002), no. 1, 71–79. MR 1930572, DOI 10.1007/s00220-002-0699-y
Francesco Guerra, Broken replica symmetry bounds in the mean field spin glass model, Comm. Math. Phys. 233 (2003), no. 1, 1–12. MR 1957729, DOI 10.1007/s00220-002-0773-5
Marc Mézard, Giorgio Parisi, and Miguel Angel Virasoro, Spin glass theory and beyond, World Scientific Lecture Notes in Physics, vol. 9, World Scientific Publishing Co., Inc., Teaneck, NJ, 1987. MR 1026102
D. Sherrington and S. Kirkpatrick, Solvable Model of a Spin-Glass, Phys. Rev. Lett. 35, 1792-1796 (1975).
Michel Talagrand, Spin glasses: a challenge for mathematicians, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 46, Springer-Verlag, Berlin, 2003. Cavity and mean field models. MR 1993891
Michel Talagrand, The Parisi formula, Ann. of Math. (2) 163 (2006), no. 1, 221–263. MR 2195134, DOI 10.4007/annals.2006.163.221
References
- Pierluigi Contucci and Cristian Giardinà, Perspectives on spin glasses, Cambridge University Press, Cambridge, 2013. MR 3012705
- Stefano Ghirlanda and Francesco Guerra, General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity, J. Phys. A 31 (1998), no. 46, 9149–9155. MR 1662161 (99h:82045), DOI 10.1088/0305-4470/31/46/006
- Francesco Guerra and Fabio Lucio Toninelli, The thermodynamic limit in mean field spin glass models, Comm. Math. Phys. 230 (2002), no. 1, 71–79. MR 1930572 (2003h:82049), DOI 10.1007/s00220-002-0699-y
- Francesco Guerra, Broken replica symmetry bounds in the mean field spin glass model, Comm. Math. Phys. 233 (2003), no. 1, 1–12. MR 1957729 (2003k:82048), DOI 10.1007/s00220-002-0773-5
- Marc Mézard, Giorgio Parisi, and Miguel Angel Virasoro, Spin glass theory and beyond, World Scientific Lecture Notes in Physics, vol. 9, World Scientific Publishing Co., Inc., Teaneck, NJ, 1987. MR 1026102 (91k:82066)
- D. Sherrington and S. Kirkpatrick, Solvable Model of a Spin-Glass, Phys. Rev. Lett. 35, 1792-1796 (1975).
- Michel Talagrand, Spin glasses: a challenge for mathematicians, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 46, Springer-Verlag, Berlin, 2003. Cavity and mean field models. MR 1993891 (2005m:82074)
- Michel Talagrand, The Parisi formula, Ann. of Math. (2) 163 (2006), no. 1, 221–263. MR 2195134 (2007m:82041), DOI 10.4007/annals.2006.163.221
Review Information:
Reviewer:
Francesco Guerra
Affiliation:
Dipartimento di Fisica, Università di Roma “La Sapienza” and Istituto Nazionale di Fisica Nucleare, Sezione di Roma Roma, Italy
Email:
francesco.guerra@roma1.infn.it
Journal:
Bull. Amer. Math. Soc.
52 (2015), 135-139
DOI:
https://doi.org/10.1090/S0273-0979-2014-01464-8
Published electronically:
August 15, 2014
Review copyright:
© Copyright 2014
American Mathematical Society
